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Finding the Third Proportional to 260,788.50 and 550,064.25

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Solution

The third proportional to 260,788.50 and 550,064.25 is: 1,160,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,788.50 : 550,064.25 = 550,064.25 : x
  2. Step 2: Convert to fraction form
    260,788.50/550,064.25 = 550,064.25/x
  3. Step 3: Cross multiply
    260,788.50x = 550,064.25 × 550,064.25
  4. Step 4: Simplify right side
    260,788.50x = 302,570,679,128.06
  5. Step 5: Solve for x
    x = 302,570,679,128.06/260,788.50
  6. Step 6: Final answer
    x = 1,160,214.81

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.